Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions

Abstract

In two dimensions the Fourier transform of the interaction between two point dipoles has a term which grows linearly in the modulus $|\text{q}|$ of the momentum . As a consequence, in second order perturbation theory the self-energy of two-dimensional dipolar fermions is ultraviolet divergent. We show that for electric dipoles this divergence can be avoided if one takes into account that physical dipoles consist of two opposite charges which are separated by a finite distance. Using this regularization, we calculate the self-energy, the renormalized chemical potential, and the renormalized Fermi surface of dipolar fermions in two dimensions in second order perturbation theory. We find that in the Fermi liquid phase the second order corrections weaken first order effects.

7 pages, 6 figures; revised bibliography

References in corpus (20)

• A High Phase-Space-Density Gas of Polar Molecules
• Quantum degenerate dipolar Fermi gas
• Ultracold dense gas of deeply bound heteronuclear molecules
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
• Quantum phases of a Two-Dimensional Dipolar Fermi Gas
• Observation of Fermi surface deformation in a dipolar quantum gas
• Simultaneous Magneto-Optical Trapping of Bosonic and Fermionic Chromium Atoms
• Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
• Density wave patterns for fermionic dipolar molecules on a square optical lattice: Mean-field-theory analysis
• Bound states of Dipolar Bosons in One-dimensional Systems
• Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
• Liquid crystal phases of two-dimensional dipolar gases and Berezinskii-Kosterlitz-Thouless melting
• Properties of the density-wave phase of a two-dimensional dipolar Fermi gas
• Dipolar fermions in a two-dimensional lattice at non-zero temperature
• Unconventional Spin Density Waves in Dipolar Fermi Gases
• Anisotropic Superfluidity in the Two-Species Polar Fermi Gas
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Second-order interaction corrections to the Fermi surface and the quasiparticle properties of dipolar fermions in three dimensions

Cited by in corpus (5)

• Two-dimensional Mixture of Dipolar Fermions: Equation of State and Magnetic Phases
• Time-of-flight expansion of trapped dipolar Fermi gases: From the collisionless to the hydrodynamic regime
• Stability of quantum degenerate Fermi gases of tilted polar molecules
• Dipolar fermions in a multilayer geometry
• Mutual dipolar drag in a bilayer Fermi gas